tan8分之π-cot8分之π等于？ tan8分之派+cot8分之派=？ 过程！详细！速度！
tan8\u5206\u4e4b\u6d3e\u7b49\u4e8e\u591a\u5c11let x = \u03c0/8
2x = \u03c0/4
tan2x = 2tanx/(1-(tanx)^2)
1 = 2tan\u03c0/8 / (1- (tan\u03c0/8)^2 )
1- (tan\u03c0/8)^2 = 2 tan\u03c0/8
(tan\u03c0/8)^2 + 2tan\u03c0/8 -1 =0
tan\u03c0/8 = -1 +\u221a2
or tan\u03c0/8 = -1+\u221a2 ( rejected)
tan\u03c0/8 = -1 +\u221a2
\u2235tan\uff08\u03c0/4)=1
\u53c8tan2a=2tana/1-tan²a
\u2234tan\uff08\u03c0/4)=tan(2*\u03c0/8)=(2*tan(\u03c0/8))/(1-(tan²(\u03c0/8)\uff09=1
\u89e3\u65b9\u7a0b\u5f97tan(\u03c0/8)=\u6839\u53f7\u4e8c-1
tan(\u03c0/8)+cot(\u03c0/8)=tan(\u03c0/8)+1/(tan(\u03c0/8))=2\u53c8\u6839\u53f7\u4e8c
=sin(8分之π)/cos(8分之π) - cos(8分之π)/sin(8分之π)
=[sin²(8分之π)-cos²(8分之π)]/[sin(8分之π)cos(8分之π)]
=2*[-cos(4分之π)]/sin(4分之π)
=-2/tan(4分之π)
=-2
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绛旓細寮у害鍜岃搴︾殑鍏崇郴鏄細蟺寮у害=180瑙掑害锛屾墍浠ュ洓鍒嗕箣蟺=180掳/4=45掳 sin45掳=cos45掳=鈭2/2 cot45掳=tan45掳=1 tan 0=tan 0掳=0
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